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Simplifying -2x + -13 + 5x = 3x + 11 + -2x Reorder the terms: -13 + -2x + 5x = 3x + 11 + -2x Combine like terms: -2x + 5x = 3x -13 + 3x = 3x + 11 + -2x Reorder the terms: -13 + 3x = 11 + 3x + -2x Combine like terms: 3x + -2x = 1x -13 + 3x = 11 + 1x Solving -13 + 3x = 11 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -13 + 3x + -1x = 11 + 1x + -1x Combine like terms: 3x + -1x = 2x -13 + 2x = 11 + 1x + -1x Combine like terms: 1x + -1x = 0 -13 + 2x = 11 + 0 -13 + 2x = 11 Add '13' to each side of the equation. -13 + 13 + 2x = 11 + 13 Combine like terms: -13 + 13 = 0 0 + 2x = 11 + 13 2x = 11 + 13 Combine like terms: 11 + 13 = 24 2x = 24 Divide each side by '2'. x = 12 Simplifying x = 12
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